Articles liés à Families of Automorphic Forms
Synopsis
Automorphic forms on the upper half plane have been studied for a long time. Most attention has gone to the holomorphic automorphic forms, with numerous applications to number theory. Maass, [34], started a systematic study of real analytic automorphic forms. He extended Hecke’s relation between automorphic forms and Dirichlet series to real analytic automorphic forms. The names Selberg and Roelcke are connected to the spectral theory of real analytic automorphic forms, see, e. g. , [50], [51]. This culminates in the trace formula of Selberg, see, e. g. , Hejhal, [21]. Automorphicformsarefunctionsontheupperhalfplanewithaspecialtra- formation behavior under a discontinuous group of non-euclidean motions in the upper half plane. One may ask how automorphic forms change if one perturbs this group of motions. This question is discussed by, e. g. , Hejhal, [22], and Phillips and Sarnak, [46]. Hejhal also discusses the e?ect of variation of the multiplier s- tem (a function on the discontinuous group that occurs in the description of the transformation behavior of automorphic forms). In [5]–[7] I considered variation of automorphic forms for the full modular group under perturbation of the m- tiplier system. A method based on ideas of Colin de Verdi` ere, [11], [12], gave the meromorphic continuation of Eisenstein and PoincarŽ e series as functions of the eigenvalue and the multiplier system jointly. The present study arose from a plan to extend these results to much more general groups (discrete co?nite subgroups of SL (R)).
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Présentation de l'éditeur
This text gives a systematic treatment of real analytic automorphic forms on the upper half plane for general confinite discrete subgroups. It introduces the main ideas then offers many examples that clarify the general theory and results developed therefrom.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Families of Automorphic Forms
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Springer Basel AG, 2009
ISBN 10 : 3034603355
ISBN 13 : 9783034603355
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Families of Automorphic Forms (Modern Birkhäuser Classics)
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Families of Automorphic Forms
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Automorphic forms on the upper half plane have been studied for a long time. Most attention has gone to the holomorphic automorphic forms, with numerous applications to number theory. Maass, [34], started a systematic study of real analytic automorphic forms. He extended Hecke's relation between automorphic forms and Dirichlet series to real analytic automorphic forms. The names Selberg and Roelcke are connected to the spectral theory of real analytic automorphic forms, see, e. g. , [50], [51]. This culminates in the trace formula of Selberg, see, e. g. , Hejhal, [21]. Automorphicformsarefunctionsontheupperhalfplanewithaspecialtra- formation behavior under a discontinuous group of non-euclidean motions in the upper half plane. One may ask how automorphic forms change if one perturbs this group of motions. This question is discussed by, e. g. , Hejhal, [22], and Phillips and Sarnak, [46]. Hejhal also discusses the e ect of variation of the multiplier s- tem (a function on the discontinuous group that occurs in the description of the transformation behavior of automorphic forms). In [5]-[7] I considered variation of automorphic forms for the full modular group under perturbation of the m- tiplier system. A method based on ideas of Colin de Verdi` ere, [11], [12], gave the meromorphic continuation of Eisenstein and Poincar e series as functions of the eigenvalue and the multiplier system jointly. The present study arose from a plan to extend these results to much more general groups (discrete co nite subgroups of SL (R)). N° de réf. du vendeur 9783034603355
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Families of Automorphic Forms
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Springer, Basel, Birkhäuser Basel, Birkhäuser Nov 2009, 2009
ISBN 10 : 3034603355
ISBN 13 : 9783034603355
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Automorphic forms on the upper half plane have been studied for a long time. Most attention has gone to the holomorphic automorphic forms, with numerous applications to number theory. Maass, [34], started a systematic study of real analytic automorphic forms. He extended Hecke's relation between automorphic forms and Dirichlet series to real analytic automorphic forms. The names Selberg and Roelcke are connected to the spectral theory of real analytic automorphic forms, see, e. g. , [50], [51]. This culminates in the trace formula of Selberg, see, e. g. , Hejhal, [21]. Automorphicformsarefunctionsontheupperhalfplanewithaspecialtra- formation behavior under a discontinuous group of non-euclidean motions in the upper half plane. One may ask how automorphic forms change if one perturbs this group of motions. This question is discussed by, e. g. , Hejhal, [22], and Phillips and Sarnak, [46]. Hejhal also discusses the e ect of variation of the multiplier s- tem (a function on the discontinuous group that occurs in the description of the transformation behavior of automorphic forms). In [5]-[7] I considered variation of automorphic forms for the full modular group under perturbation of the m- tiplier system. A method based on ideas of Colin de Verdi` ere, [11], [12], gave the meromorphic continuation of Eisenstein and Poincar e series as functions of the eigenvalue and the multiplier system jointly. The present study arose from a plan to extend these results to much more general groups (discrete co nite subgroups of SL (R)). 318 pp. Englisch. N° de réf. du vendeur 9783034603355
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FAMILIES OF AUTOMORPHIC FORMS
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Families of Automorphic Forms (Modern Birkhauser Classics)
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Families of Automorphic Forms
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Families of Automorphic Forms
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Birkhauser Verlag AG, 2009
ISBN 10 : 3034603355
ISBN 13 : 9783034603355
Neuf
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Etat : New. This text gives a systematic treatment of real analytic automorphic forms on the upper half plane for general confinite discrete subgroups. It introduces the main ideas then offers many examples that clarify the general theory and results developed therefrom. Series: Modern Birkhauser Classics. Num Pages: 318 pages, biography. BIC Classification: PBKB. Category: (P) Professional & Vocational. Dimension: 233 x 158 x 17. Weight in Grams: 490. . 2009. 1st ed. 1994. 2nd printing 2009. Paperback. . . . . N° de réf. du vendeur V9783034603355
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